On sequences preserving summability
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916791501979648 |
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| author | Michalik, Sławomir Suwińska, Maria Tkacz, Bożena |
| author_facet | Michalik, Sławomir Suwińska, Maria Tkacz, Bożena |
| contents | In this paper, we study sequences of positive numbers preserving summability. In particular, the open set property for such a family of sequences is shown. Several classes of sequences preserving summability, including polynomials, sums of powers, and solutions of some difference equations, are introduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06495 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On sequences preserving summability Michalik, Sławomir Suwińska, Maria Tkacz, Bożena Classical Analysis and ODEs Analysis of PDEs Complex Variables 30B10, 30B40, 35C10, 40A05, 40G10 In this paper, we study sequences of positive numbers preserving summability. In particular, the open set property for such a family of sequences is shown. Several classes of sequences preserving summability, including polynomials, sums of powers, and solutions of some difference equations, are introduced. |
| title | On sequences preserving summability |
| topic | Classical Analysis and ODEs Analysis of PDEs Complex Variables 30B10, 30B40, 35C10, 40A05, 40G10 |
| url | https://arxiv.org/abs/2501.06495 |